Tenant signed lease, moved, and died

I rented to one person with a 2 year lease,
Tenant moved in with moving van and left to bring more items in and died. Family notified my and came to see what was in apartment. Not sure I should of let them in? They had the keys. They said they will be moving her things out. I do not know how to contact them. I did give them my number to let me know when the moving van will come. Do I need to find out who the executor is? Can I show the apartment? Is her estate still responsible for rent until I rent the apartment? What do I need to know and what do I need to do? Never experienced this. Thanks Steve